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This paper proposes analytic forms of portfolio CoVaR and CoCVaR on the normal tempered stable market model. Since CoCVaR captures the relative risk of the portfolio with respect to a benchmark return, we apply it to the relative portfolio…

投资组合管理 · 定量金融 2023-03-29 Young Shin Kim

The problem of finding the optimal portfolio for investors is called the portfolio optimization problem. Such problem mainly concerns the expectation and variability of return (i.e., mean and variance). Although the variance would be the…

投资组合管理 · 定量金融 2020-07-21 Kei Nakagawa , Shuhei Noma , Masaya Abe

The entropic value-at-risk (EVaR) is a new coherent risk measure, which is an upper bound for both the value-at-risk (VaR) and conditional value-at-risk (CVaR). As important properties, the EVaR is strongly monotone over its domain and…

投资组合管理 · 定量金融 2020-04-17 Amir Ahmadi-Javid , Malihe Fallah-Tafti

We study the optimal portfolio allocation problem from a Bayesian perspective using value at risk (VaR) and conditional value at risk (CVaR) as risk measures. By applying the posterior predictive distribution for the future portfolio…

投资组合管理 · 定量金融 2020-12-04 Taras Bodnar , Mathias Lindholm , Vilhelm Niklasson , Erik Thorsén

Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) are popular risk measures from academic, industrial and regulatory perspectives. The problem of minimizing CVaR is theoretically known to be of Neyman-Pearson type binary solution. We…

投资组合管理 · 定量金融 2013-08-19 Jing Li , Mingxin Xu

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

投资组合管理 · 定量金融 2022-07-26 Jinping Zhang , Keming Zhang

The conventional wisdom of mean-variance (MV) portfolio theory asserts that the nature of the relationship between risk and diversification is a decreasing asymptotic function, with the asymptote approximating the level of portfolio…

投资组合管理 · 定量金融 2016-08-19 Gilles Boevi Koumou

Designing dynamic portfolio insurance strategies under market conditions switching between two or more regimes is a challenging task in financial economics. Recently, a promising approach employing the value-at-risk (VaR) measure to assign…

计算金融 · 定量金融 2023-05-23 Peyman Alipour , Ali Foroush Bastani

We show how to reduce the problem of computing VaR and CVaR with Student T return distributions to evaluation of analytical functions of the moments. This allows an analysis of the risk properties of systems to be carefully attributed…

投资组合管理 · 定量金融 2011-03-01 William T. Shaw

We consider an investor who seeks to maximize her expected utility derived from her terminal wealth relative to the maximum performance achieved over a fixed time horizon, and under a portfolio drawdown constraint, in a market with local…

投资组合管理 · 定量金融 2016-10-28 Ankush Agarwal , Ronnie Sircar

Value-at-Risk (VaR) is an institutional measure of risk favored by financial regulators. VaR may be interpreted as a quantile of future portfolio values conditional on the information available, where the most common quantile used is 95%.…

风险管理 · 定量金融 2016-05-18 Khizar Qureshi

The variance measures the portfolio risks the investors are taking. The investor, who holds his portfolio and doesn't trade his shares, at the current time can use the time series of the market trades that were made during the averaging…

综合经济学 · 经济学 2025-07-08 Victor Olkhov

This thesis presents the Conditional Value-at-Risk concept and combines an analysis that covers its application as a risk measure and as a vector norm. For both areas of application the theory is revised in detail and examples are given to…

风险管理 · 定量金融 2015-11-03 Jakob Kisiala

We introduce the Historical and Dynamic Volatility Ratios (HVR/DVR) and show that equity and index volatilities are cointegrated at intraday and daily horizons. This allows us to construct a VECM to forecast portfolio volatility by…

投资组合管理 · 定量金融 2025-09-30 Gabriele Casto

The standard approach for constructing a Mean-Variance portfolio involves estimating parameters for the model using collected samples. However, since the distribution of future data may not resemble that of the training set, the…

数理金融 · 定量金融 2025-03-12 Duy Khanh Lam

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

投资组合管理 · 定量金融 2009-09-21 Alex Dannenberg

High precision analytical approximation is proposed for variance-covariance based risk allocation in a portfolio of risky assets. A general case of a single-period multi-factor Merton-type model with stochastic recovery is considered. The…

风险管理 · 定量金融 2009-09-28 Mikhail Voropaev

The majority of standard approaches to financial portfolio optimization (PO) are based on the mean-variance (MV) framework. Given a risk aversion coefficient, the MV procedure yields a single portfolio that represents the optimal trade-off…

投资组合管理 · 定量金融 2024-02-27 Bruno Gašperov , Marko Đurasević , Domagoj Jakobovic

This paper studies a mean-risk portfolio choice problem for log-returns in a continuous-time, complete market. This is a growth-optimal problem with risk control. The risk of log-returns is measured by weighted Value-at-Risk (WVaR), which…

风险管理 · 定量金融 2021-12-30 Pengyu Wei , Zuo Quan Xu

The paper Zhao et al. (2015) shows that mean-CVaR-skewness portfolio optimization problems based on asymetric Laplace (AL) distributions can be transformed into quadratic optimization problems under which closed form solutions can be found.…

投资组合管理 · 定量金融 2023-02-20 Nuerxiati Abudurexiti , Kai He , Dongdong Hu , Svetlozar T. Rachev , Hasanjan Sayit , Ruoyu Sun
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